This document discusses distributed loads on beams. It defines distributed loads as loads consisting of the weight of materials supported directly or indirectly by the beam, or caused by wind or hydrostatic pressure. Distributed loads can be represented by a load intensity diagram showing the load w supported per unit length L. The total load W is equal to the area under the load intensity curve. Examples are provided for determining the equivalent concentrated load and its location for a given distributed load on a beam.

1. Mindanao State University
Iligan Institute of Technology
College of Engineering
Distributed aLoads on Beams
Force
Gevelyn Bontilao Itao, MOE

2. Distributed Loads
Distributed loads:
- consists of the weight of materials supported directly or
indirectly by the beam, or it may caused by wind or
hydrostatic pressure.
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3. Distributed Loads
It can be represented by plotting load w supported per
unit length L. It is expressed as N/m or lb/ft.
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4. Distributed Loads
- The direction of the intensity of the load is indicated by
arrows shown on the load intensity diagram.
- This system of forces can be simplified to a single force
W and its location x can be specified.
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5. Distributed Loads
Hence, the magnitude of W is equal to the total area A
under the curve.
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6. Distributed Loads
Example 1:
Determine the magnitude and location of the equivalent
resultant force acting on the shaft.
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7. Distributed Loads
Example 2:
A beam supports a distributed load as shown. Determine
the equivalent concentrated load and its location, and the
reactions at the supports.
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8. Mindanao State University
Iligan Institute of Technology
College of Engineering
Centroid fora Force
Composite Bodies
Gevelyn Bontilao Itao, MOE

9. Centroid for Composite Bodies
Center of Gravity:
- a point which locate the coordinate of the center
of gravity of a system of particle..
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10. Centroid
Centroid:
- a point which defines the geometric center of the object.
It is independent of the body’s weight and dependent on
the bodies geometry
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11. Centroid
Centroid:
- a point which defines the geometric center of the object.
It is independent of the body’s weight and dependent on
the bodies geometry
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12. Centroid
Centroid:
- a point which defines the geometric center of the object.
It is independent of the body’s weight and dependent on
the bodies geometry
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13. Centroid for Composite Bodies
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14. Centroid for Composite Bodies
Example 1:
Locate the centroid of the wire shown.
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15. Centroid for Composite Bodies
Example 2:
Locate the centroid of the area shown.
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16. Centroid for Composite Bodies
Example 3:
Locate the centroid of the shaded area shown.
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17. Centroid for Composite Bodies
Example 4:
Locate the centroid of the figure shown.
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